Novel criteria of synchronization stability in complex networks with coupling delays
作者： Qing Yun Wang , Guan Rong Chen , Qi Shao Lu , Fei Hao
DOI: 10.1016/J.PHYSA.2006.12.002
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摘要: Abstract Complex networks are wide spread in the real world, arising fields as disparate sociology, physics and biology. The information spreading through a complex network is often associated with time delays due to finite speeds of signal transmission over distance. Hence, coupling have gained increasing attention various science engineering today. In this paper, based on theory asymptotic stability linear time-delay systems, synchronization dynamical investigated, we derive novel criteria state for both delay-independent delay-dependent stabilities. As illustrative examples, use given scheme test theoretical results.
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sci-hub.se 参考文章(18)
S.N. Dorogovtsev, J.F.F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW Research Papers in Economics. ,(2003)
Matthew G Earl, Steven H Strogatz, None, Synchronization in oscillator networks with delayed coupling: a stability criterion. Physical Review E. ,vol. 67, pp. 036204- 036204 ,(2003) , 10.1103/PHYSREVE.67.036204
Albert-László Barabási, Réka Albert, Emergence of Scaling in Random Networks Science. ,vol. 286, pp. 509- 512 ,(1999) , 10.1126/SCIENCE.286.5439.509
Duncan J. Watts, Jie Wu, Small Worlds: The Dynamics of Networks between Order and Randomness ,(1999)
Changsong Zhou, Adilson E. Motter, Jürgen Kurths, Universality in the synchronization of weighted random networks. Physical Review Letters. ,vol. 96, pp. 034101- ,(2006) , 10.1103/PHYSREVLETT.96.034101
Chunguang Li, Guanrong Chen, Synchronization in general complex dynamical networks with coupling delays Physica A-statistical Mechanics and Its Applications. ,vol. 343, pp. 263- 278 ,(2004) , 10.1016/J.PHYSA.2004.05.058
Chunguang Li, Guanrong Chen, Phase synchronization in small-world networks of chaotic oscillators Physica A-statistical Mechanics and Its Applications. ,vol. 341, pp. 73- 79 ,(2004) , 10.1016/J.PHYSA.2004.04.112
Chunguang Li, Hongbing Xu, Xiaofeng Liao, Juebang Yu, Synchronization in small-world oscillator networks with coupling delays Physica A-statistical Mechanics and Its Applications. ,vol. 335, pp. 359- 364 ,(2004) , 10.1016/J.PHYSA.2003.12.037
T. Mori, Criteria for asymptotic stability of linear time-delay systems IEEE Transactions on Automatic Control. ,vol. 30, pp. 158- 161 ,(1985) , 10.1109/TAC.1985.1103901
CP Li, WG Sun, J Kurths, None, Synchronization of complex dynamical networks with time delays Physica A-statistical Mechanics and Its Applications. ,vol. 361, pp. 24- 34 ,(2006) , 10.1016/J.PHYSA.2005.07.007